Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 62, Issue 9, Pages 3524-3528Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2011.08.068
Keywords
Soft set; Soft topology; Soft interior; T-i. i=1, 2, 3; Soft regular; Soft normal
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Shabir and Naz (2011) [12] introduced and studied the notions of soft topological spaces, soft interior, soft closure and soft separation axioms. But we found that some results are incorrect (see their Remark 3.23). So the purpose of this note is, first, to point out some errors in Remark 4 and Example 9 of Shabir and Naz (2011) [12], and second, to investigate properties of soft separation axioms defined in Shabir and Naz (2011)[12]. In particular, we investigate the soft regular spaces and some properties of them. We show that if a soft topological space (X, tau, E) is soft T-1 and soft regular (i.e. a soft T-3-space), then (x, E) is soft closed for each x is an element of X (their Theorem 3.21). (C) 2011 Elsevier Ltd. All rights reserved.
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